Functional Analysis and Applications
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※上記表示の販売価格は割引適用後の価格です 出版済み 3週間でお届けいたします。 1st ed. 2018 Series: Industrial and Applied Mathematics Author: Siddiqi, Abul Hasan Publisher: Springer ISBN: 9789811037245 Cover: HARDCOVER Date: 2018年05月 DESCRIPTION This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing. Table of Contents Metric Spaces and Banach Fixed Point Theorem.- Banach Spaces.- Hilbert Space.- Fundamental Theorems.- Differential and Integral Calculus in Banach Spaces.- Optimisation Problems.- Operator Equations and Variational Methods.- Finite Element and Boundary Element Methods.- Variational Inequalities and Applications.- Spectral Theory with Application.- Frame and Basis Theory in Hilbert Spaces.- Wavelet Theory.- Wavelet Method for Partial Dierential Equations and Image Processing.- Wavelet Frames.- Gabor Analysis. TABLE OF CONTENTS This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.
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